What is the Least Common Multiple of 92364 and 92380?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 92364 and 92380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92364 and 92380, than apply into the LCM equation.

GCF(92364,92380) = 4
LCM(92364,92380) = ( 92364 × 92380) / 4
LCM(92364,92380) = 8532586320 / 4
LCM(92364,92380) = 2133146580

Least Common Multiple (LCM) of 92364 and 92380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92364 and 92380. First we will calculate the prime factors of 92364 and 92380.

Prime Factorization of 92364

Prime Factorization of 92380

Now multiplying the highest exponent prime factors to calculate the LCM of 92364 and 92380.

LCM(92364,92380) = 2² × 3¹ × 43¹ × 179¹ × 5¹ × 31¹ × 149¹
LCM(92364,92380) = 2133146580